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Theory of Operation
Theory of Operation
The operation of the resistance strain gauge is based on
the principle that the electrical resistance of a conductor changes when it is
subjected to a mechanical deformation, since the resistivity changes with a
change in length and area.
The resistance of a conductor can be expressed as:
(1)
where:
- R is the resistance,
- is the material resistivity,
- L is the length of the conductor, and
- A is the cross-sectional area of the conductor.
It can be shown that the change in resistance of a conductor is linearly related to the strain by:
(2)
- where:
- [[epsilon]]axial is the axial strain (m/m),
- F is the sensitivity of the strain gauge (gauge factor), and
- R is the change in resistance.
In most cases, the values of F and R are provided by the manufacturer, and the user measures [[Delta]]R to determine the strain.
Since the typical change in resistance of a strain gauge is extremely small
(~0.00024 ), sensitive instrumentation is required to measure the strain.
Last Updated: January 16, 2000, beam@bits.me.berkeley.edu
Copyright © 1993-1995, 2000, Pamela A. Eibeck and Brandon Muramatsu
Original WWW Conversion by Winston Wang, 1994
WWW ReConversion by Brandon Muramtasu, 2000